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Finding the Third Proportional to 71,419.22 and 157,532.34

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Solution

The third proportional to 71,419.22 and 157,532.34 is: 347,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,419.22 : 157,532.34 = 157,532.34 : x
  2. Step 2: Convert to fraction form
    71,419.22/157,532.34 = 157,532.34/x
  3. Step 3: Cross multiply
    71,419.22x = 157,532.34 × 157,532.34
  4. Step 4: Simplify right side
    71,419.22x = 24,816,439,327.37
  5. Step 5: Solve for x
    x = 24,816,439,327.37/71,419.22
  6. Step 6: Final answer
    x = 347,475.65

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.